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3 years ago

Find equivalent ways to rewrite the expression 6a^8÷3a^4

Mathematics

2 answers:

solong [7]3 years ago

5 0

Answer:

6a^8/3a^4= (6/3)= 2

a^8/a^4= a^4

2a^4

(6/3)(a^8/a^4)= 2a^4

(6/3)(a^(8-4))= 2a^4

Step-by-step explanation:

il63 [147K]3 years ago

3 0

Look at the attached picture⤴

Hope it will help...:)

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P and q are integers that are multiple of 5. Which of this

zhuklara [117]

Answer:

we conclude that the only option (a) is true.

Step-by-step explanation:

As we know that the multiples of 5 are the numbers which we get when we multiply by 5.

i.e.

5×1=5

5×2=10

Here, 5 and 10 are multiples of 5.

Let p and q are integers that are multiples of 5.

Let us consider

p=5

q=10

p+q=5+10

= 15

A number is divisible by 5 if it ends in 5 or 0.

i.e. 15/5 = 3

so p+q is divisible by 3 as there is no remainder left.

Therefore, option (a) is true.

Checking the other options:

(b) P –q is divisible by 10

p=5

q=10

p-q=5-10

= -5

Numbers that are divisible by 10 need to be even or divisible by 2 and divisible by 5.

As -5 is not divisible by 2.

So, option b is NOT true.

(c) P +q is divisible by 20

p=5

q=10

p-q=5+10

= 15

Divisibility rule of 20 implies that the last two digits of the number are either 00 or divisible by 20 .

Therefore, P + q= 20 is not divisible by 20 as we don't get the whole number.

(d) P + q is divisible by 25

p=5

q=10

p-q=5+10

= 15

p+q=15 is not divisible by 25 as it does not end with 00, 25, 50, or 75.

so, option d is NOT correct.

Therefore, we conclude that the only option (a) is true.

5 0

3 years ago

Find the missing measurement (indicated by a "?").

icang [17]

Answer:

The missing measurement is 9 miles

Step-by-step explanation:

we know that

The Area of a parallelogram is equal to

$A=bh$

where

b is the length of any base

h is the corresponding altitude

The altitude (or height) of a parallelogram is the perpendicular distance from the base to the opposite side (which may have to be extended).

In the figure, the altitude corresponding to the base is 4 miles

substitute

$36=b(4)$

Solve for b

Divide by 4 both sides

$b=\frac{36}{4} =9\ mi$

therefore

The missing measurement is 9 miles

5 0

3 years ago

What is the slope of (-3,2) and (6,1)

evablogger [386]

Answer: -1/9

Step-by-step explanation:

Find the Slope (−3, 2) and (6, 1)

Slope is equal to the change in y over the change in x, or rise over run.

$m=\frac{change in y}{change in x}$

The change in x is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called rise).

$m = \frac{y_2-y_1}{x_2-x_1}$

Substitute in the values of x and y into the equation to find the slope.

$m = \frac{1-(2)}{6-(-3)}$

Simplify the numerator. Tap for more steps...

$m=\frac{-1}{6-(-3)}$

Simplify the denominator.

$m=-\frac{1}{9}$

6 0

3 years ago

Read 2 more answers

2(y + 5) use the distributive property to expand expressions.

marta [7]

Answer:

2(y+5)

Step-by-step explanation:

= 2y+10 simple multiplication method

3 0

3 years ago

Read 2 more answers

Which is a zero of the quadratic function f(x) = 16x?? + 32x - 9?

STALIN [3.7K]

Answer:

f(x) = 16x2 + 32x - 9

To find the "zeros", set f(x) = 0:

0 = 16x2 + 32x - 9

The equation is solvable by factoring or by using the quadratic formula. The factors (use the "ac" method) are:

0 = (4x-1)(4x+9)

x = 1/4 = 0.25 and x = -9/4 = -2.25

Step-by-step explanation:

6 0

3 years ago

Find equivalent ways to rewrite the expression 6a^8÷3a^4​

Find equivalent ways to rewrite the expression 6a^8÷3a^4